|HP-35S: Decomposing a complex number|
Message #1 Posted by Antonio Maschio (Italy) on 19 Sept 2008, 12:13 p.m.
Well, I don't know if this has already been treated here (I've done some googling, but nothing seems to match), so I present here my way of doing what's in the title for numbers either in the form 'a+ib' or 'r-theta'. Of course, anyone of you may have a better and shorter way, but my scope is not to do some kind of race with anyone, just to help those who face the HP-35S faults.
Reading the program by Valentin Albillo about a 35S solver much more powerful than the built-in one (Valentin's one works on real and complex numbers as well and sorry, but I can't find the thread anymore), I grabbed his powerful algorithm to retrieve the real value of any number (either real or complex).
Extending its action, I built these short routines to do the same both for reals and imaginary parts, depending on the chosen algorithm. Basing on this assumption, I guess this should be called "Valentin's way", not just "Antonio's way".
Note: all routines are for RPN Mode and are all independent of the angle settings (RAD/GRAD/DEG).
get Real value
R001 LBL R
get Imaginary value
I001 LBL I
I performed the following tests, and here's what I got:
2i7 XEQ I -> 7
2i7 XEQ R -> 2
-2i7 XEQ I -> 7
-2i7 XEQ R -> -2
2i-7 XEQ I -> -7
2i-7 XEQ R -> 2
-2i-7 XEQ I -> -7
-2i-7 XEQ R -> -2
To decompose a complex number do:
ENTER XEQ I x<>y XEQ R
to have the Real part on the display
ENTER XEQ R x<>y XEQ I
to have the Imaginary part on the display
Hope this will help someone.